The existence of conjugate points for selfadjoint differential equations of even order

Academic Article

Abstract

  • This paper presents sufficient conditions on the coefficents of formula presented wnich insure that L2ny = 0 has conjugate points η(a) for all a > 0. The main theorem implies that (- l)ny(2n) + py = 0 has conjugate points η(a) for all a > 0 When ∫∞ xαp(x)dx = - ∞ for some α < 2n - 1 with no sign restrictions on p(x). © 1976 American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Lewis RT
  • Start Page

  • 162
  • End Page

  • 166
  • Volume

  • 56
  • Issue

  • 1